NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS

DOI10.1142/S0218348X21400181zbMath1487.26011OpenAlexW3118786038MaRDI QIDQ5023991

Zakia Hammouch, Saima Rashid, Dumitru Baleanu, Yu-Ming Chu, Yong-Min Li

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21400181

zbMATH Keywords

fractal setsgeneralized convex functiongeneralized harmonically convex functionNewton-type inequalitygeneralized \(p\)-convex functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Convexity of real functions in one variable, generalizations (26A51)

Related Items (9)

NEW INEQUALITIES ON GENERALIZED m-CONVEXITY ON FRACTAL SETS ⋮ More efficient estimates via \(\hslash\)-discrete fractional calculus theory and applications ⋮ Newton-Simpson-type inequalities via majorization ⋮ Regarding new traveling wave solutions for the mathematical model arising in telecommunications ⋮ Some inequalities for a new class of convex functions with applications via local fractional integral ⋮ \((p,q)\)-extended Struve function: fractional integrations and application to fractional kinetic equations ⋮ Estimation of the parameterized integral inequalities involving generalized \(p\)-convex mappings on fractal sets and related applications ⋮ The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits ⋮ Geometric properties in Minkowski space-time of spacelike Smarandache curves

Cites Work

• Unnamed Item
• Unnamed Item
• Generalization of some Simpson-like type inequalities via differentiable \(s\)-convex mappings in the second sense
• New inequalities for local fractional integrals
• Some generalized inequalities involving local fractional integrals and their applications for random variables and numerical integration
• Generalized convex functions on fractal sets and two related inequalities
• On Simpson's inequality and applications
• Inequalities for differentiable mappings with application to special means and quadrature formulæ
• Hermite-Hadamard-type inequalities for generalized \(s\)-convex functions on real linear fractal set \(\mathbb {R}^{\alpha }\) (\(0<\alpha <1\))
• Some Newton's like inequalities with applications
• Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative
• On Pólya-Szegö and Čebyšev type inequalities via generalized \(k\)-fractional integrals
• A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the rubella disease model
• Generation of new fractional inequalities via \(n\) polynomials \(s\)-type convexity with applications
• New estimates considering the generalized proportional Hadamard fractional integral operators
• On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
• A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative
• On new fractional integral inequalities for \(p\)-convexity within interval-valued functions
• Some new local fractional inequalities associated with generalized \((s,m)\)-convex functions and applications
• Fejér-Hermite-Hadamard type inequalities involving generalized \(h\)-convexity on fractal sets and their applications
• Certain new weighted estimates proposing generalized proportional fractional operator in another sense
• Simpson's type integral inequalities for \(\kappa\)-fractional integrals and their applications
• New weighted generalizations for differentiable exponentially convex mapping with application
• Certain novel estimates within fractional calculus theory on time scales
• New Hermite-Hadamard type inequalities for exponentially convex functions and applications
• A new approach on fractional calculus and probability density function
• Ostrowski type inequalities in the sense of generalized \(\mathcal{K}\)-fractional integral operator for exponentially convex functions
• Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative
• On new unified bounds for a family of functions via fractional \(q\)-calculus theory
• On new modifications governed by quantum Hahn's integral operator pertaining to fractional calculus
• Analysis of fractal wave equations by local fractional Fourier series method
• Inequalities involving conformable approach for exponentially convex functions and their applications
• Generalizations of Hölder's and some related integral inequalities on fractal space
• On a three step crisis integro-differential equation
• Generalized Ostrowski type inequalities for local fractional integrals
• New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
• NEW GENERALIZATIONS IN THE SENSE OF THE WEIGHTED NON-SINGULAR FRACTIONAL INTEGRAL OPERATOR
• On new inequalities of Simpson's type for generalized convex functions
• On generalization of some inequalities for generalized harmonically convex functions via local fractional integrals
• Hermite-Hadamard type inequalities for harmonically convex functions
• An inequality of Simpson type

This page was built for publication: NEW NEWTON’S TYPE ESTIMATES PERTAINING TO LOCAL FRACTIONAL INTEGRAL VIA GENERALIZED p-CONVEXITY WITH APPLICATIONS